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Finding the Third Proportional to 31,157,029.69 and 72,122,885.68

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Solution

The third proportional to 31,157,029.69 and 72,122,885.68 is: 166,951,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157,029.69 : 72,122,885.68 = 72,122,885.68 : x
  2. Step 2: Convert to fraction form
    31,157,029.69/72,122,885.68 = 72,122,885.68/x
  3. Step 3: Cross multiply
    31,157,029.69x = 72,122,885.68 × 72,122,885.68
  4. Step 4: Simplify right side
    31,157,029.69x = 5,201,710,639,329,057
  5. Step 5: Solve for x
    x = 5,201,710,639,329,057/31,157,029.69
  6. Step 6: Final answer
    x = 166,951,429.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.